Factorise:
(p+q)^2 + 5(p+q)
Grouping:
= (p + q)² + 5(p + q)
= (p + q)(p + q) + 5(p + q)
= (p + q + 5)(p + q)
Answer: (p + q)(p + q + 5)
Hope this helps, have a BLESSED and wonderful day! As well as as a safe one! :-)
-Cutiepatutie ☺❀❤
Answer:
Step-by-step explanation:
Given that,
Height of a triangular pyramid = 6 inches
The area of the base of the speaker is 11 square inches
We need to find the volume of the speaker.
The formula for the volume of triangular pyramid is given by :
A is area of base and h is height
So, the volume of the speaker is .
Y=-1/4(x- - 2)^2+ 4
You can see it take shape by drawing it out. Then shift x left by 2 (-2) and up 4 (+4) . A trick for the slope is that by looking at .75 you know it has to be some fraction with a even denominator.
Answer:
The 80% confidence interval would be given by (0.339;0.401)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
For this case the estimated proportion of interest would be
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by and . And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 80% confidence interval would be given by (0.339;0.401)